Any value that results from raising the power of the Golden Mean by an integer > 1 may be exactly expressed in the following form:-
(GM * a) + b - where both 'a' and 'b' are integers!
e.g GM^4 = (GM * 3) + 2
Also, any value that results from raising the power of the Golden Mean by an integer may be exactly expressed in the following form in an infinite variety of ways:-
((GM * a) + b) / ((GM * c) + d) - where 'a' 'b' 'c' 'd' are all integers!
Proof provided on request
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